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6072475920 = 2435723116657
BaseRepresentation
bin1011010011111001…
…01010000100010000
3120200012102201221120
411221330222010100
544414023212140
62442322122240
7303324123300
oct55174520420
916605381846
106072475920
112636833045
1212157b0380
1375a0c3524
144186b7600
152581a21d0
hex169f2a110

6072475920 has 240 divisors, whose sum is σ = 22605838848. Its totient is φ = 1343139840.

The previous prime is 6072475907. The next prime is 6072475921. The reversal of 6072475920 is 295742706.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6072475921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356232 + ... + 372888.

Almost surely, 26072475920 is an apocalyptic number.

6072475920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6072475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302919424).

6072475920 is an abundant number, since it is smaller than the sum of its proper divisors (16533362928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6072475920 is a wasteful number, since it uses less digits than its factorization.

6072475920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16718 (or 16705 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 6072475920 is about 77926.0926776134. The cubic root of 6072475920 is about 1824.4078564320.

The spelling of 6072475920 in words is "six billion, seventy-two million, four hundred seventy-five thousand, nine hundred twenty".